Conductivity in the 2D Rayleigh Model for the Critical Concentration (Percolation Threshold)

The conductivity in the 2D Rayleigh model (isotropic matrix with a periodic distribution of circular inclusions) is considered for the critical concentration (percolation threshold). The effective conductivity of the model with the metal–ideal conductor phase transition is calculated using the binar...

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Bibliographic Details
Published in:Journal of experimental and theoretical physics 2021-03, Vol.132 (3), p.463-471
Main Author: Balagurov, B. Ya
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Conductors
Electronic Properties of Solid
Elementary Particles
Inclusions
Metal-insulator transition
Particle and Nuclear Physics
Percolation
Phase transitions
Physics
Physics and Astronomy
Quantum Field Theory
Reciprocity
Relativity Theory
Solid State Physics
Two dimensional models
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Summary:The conductivity in the 2D Rayleigh model (isotropic matrix with a periodic distribution of circular inclusions) is considered for the critical concentration (percolation threshold). The effective conductivity of the model with the metal–ideal conductor phase transition is calculated using the binary approximation. The corresponding effective conductivity for an alternative model with a metal–insulator transition is determined from the Keller–Dykhne reciprocity relation.
ISSN:1063-7761
1090-6509
DOI:10.1134/S1063776121030018